国家教育部博士点基金(20120003110003)

作品数：9被引量：62H指数：3
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Molecular Characterization of Anisotropic Musielak–Orlicz Hardy Spaces and Their Applications被引量：2
《Acta Mathematica Sinica,English Series》2016年第11期1391-1414,共24页Bao De LI Xing Ya FAN Zun Wei FU Da Chun YANG 
partially supported by National Natural Science Foundation of China(Grant Nos.11461065,11161044,11571039 and 11361020);supported by Scientific Research Projects in Colleges and Universities in Xinjiang Uyghur Autonomous Region(Grant No.XJEDU2014S001);supported by National Natural Science Foundation of China(Grant No.11271175);partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2013YB60and 2014KJJCA10)
Let A be an expansive dilation on Rn and φ ： Hn×[0, ∞）→[0, ∞） an anisotropic Musielak-Orlicz function. Let HAφ（R^n） be the anisotropic Hardy space of Musielak-Orlicz type defined via the grand maximal funct...
关键词：Anisotropic expansive dilation Muckenhoupt weight Musielak–Orlicz function Hardy space MOLECULE anisotropic Calderón–Zygmund operator 
Several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期343-354,共12页YUAN Wen LU Yu-feng YANG Da-chun 
supported by the National Natural Science Foundation of China(11471042,11361020 and 11571039);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2014KJJCA10)
In this article, the authors establish several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces on spaces of homogeneous type in the sense of Coifman and Weiss.
关键词：Sobolev space Morrey space Morrey-Sobolev space Haj lasz gradient space of homogeneous type maximal operator 
Interpolation of Morrey-Campanato and related smoothness spaces被引量：19
《Science China Mathematics》2015年第9期1835-1908,共74页YUAN Wen SICKEL Winfried YANG DaChun 
supported by National Natural Science Foundation of China(Grant Nos.11471042,11171027 and 11361020);the Alexander von Humboldt Foundation;the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2013YB60 and 2014KJJCA10)
We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method,...
关键词：Morrey space Campanato space Besov-type space Triebel-Lizorkin-type space real and complex interpolation ±-method of interpolati 
Hardy spaces H^p over non-homogeneous metric measure spaces and their applications被引量：36
《Science China Mathematics》2015年第2期309-388,共80页FU Xing LIN Hai Bo YANG Da Chun YANG Dong Yong 
supported by National Natural Science Foundation of China(Grant Nos.11301534,11171027,11361020 and 11101339);Da Bei Nong Education Fund(Grant No.1101-2413002);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2012LYB26,2012CXQT09,2013YB60 and 2014KJJCA10)
Let(X,d,)be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.Let ρ∈(1,∞),0
关键词：non-homogeneous metric measure space ρ-weakly doubling measure Hardy space Campanato space Lipschitz space Calder′on-Zygmund operator atomic block molecular block 
POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES被引量：2
《Acta Mathematica Scientia》2014年第6期1677-1694,共18页林海波 杨大春 
supported by the National Natural Science Foundation of China(11301534);the National Natural Science Foundation of China(11171027 and 11361020);Da Bei Nong Education Fund(1101-2413002);Chinese Universities Scientific Fund(2013QJ003);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2012LYB26 and 2012CXQT09)
In this article, the authors characterize pointwise multipliers for localized MorreyCampanato spaces, associated with some admissible functions on RD-spaces, which include localized BMO spaces as a special case. The r...
关键词：RD-space pointwise multiplier localized Morrey-Campanato space BMO space 
Musielak–Orlicz BMO-type Spaces Associated with Generalized Approximations to the Identity被引量：2
《Acta Mathematica Sinica,English Series》2014年第11期1917-1962,共46页Shao Xiong HOU Da Chun YANG Si Bei YANG 
supported by National Natural Science Foundation of China(Grant Nos.11171027 and 11361020);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2012LYB26,2012CXQT09 and lzujbky-2014-18)
Let X be a space of homogenous type and ψ： X × [0,∞） → [0,∞） be a growth function such that ψ（·,t） is a Muckenhoupt weight uniformly in t and ψ（x,·） an Orlicz function of uniformly upper type 1 and low...
关键词：Growth function BMO-type space approximation to the identity John–Nirenberg inequality Carleson measure 
Atomic Decompositions of Triebel-Lizorkin Spaces with Local Weights and Applications
《Chinese Annals of Mathematics,Series B》2014年第2期237-260,共24页Liguang LIU Dachun YANG 
supported by the National Natural Science Foundation of China(Nos.11101425,11171027);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20120003110003)
Abstract In this paper, the authors characterize the inhomogeneous Triebel-Lizorkin spaces Fs,w p,q （Rn） with local weight w by using the Lusin-area functions for the full ranges of the indices, and then establish ...
关键词：Local weight Triebel-Lizorkin space ATOM Lusin-Area function Riesztransform 
Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces被引量：26
《Science China Mathematics》2014年第1期123-144,共22页LIN HaiBo YANG DaChun 
supported by the Mathematical Tianyuan Youth Fund of the National Natural Science Foundation of China (Grant No. 11026120);Chinese Universities Scientific Fund (Grant No. 2011JS043);National Natural Science Foundation of China (Grant Nos. 11171027 and 11361020);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120003110003)
Let(X,d,μ)be a metric measure space satisfying the upper doubling condition and the geometrically doubling condition in the sense of Hyto¨nen.We prove that the L p(μ)-boundedness with p∈(1,∞)of the Marcinkiewicz ...
关键词：UPPER doubling geometrically doubling Marcinkiewicz integral atomic HARDY space RBMO(μ) 
Function spaces of Besov-type and Triebel-Lizorkin-type——a survey被引量：3
《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期405-426,共22页YANG Da-chun YUAN Wen 
supported by the National Natural Science Foundation of China(11171027and 11101038);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2012LYB26);supported by the Alexander von Humboldt Foundation
This article is devoted to presenting a recapitulative introduction for the theory of Besov-type and Triebel-Lizorkin-type spaces developed in recent years.
关键词：Besov space Triebel-Lizorkin space EMBEDDING ATOM MOLECULE WAVELET local mean Peetre maximal function dual complex interpolation 
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